(ii)The radical axis bisects the common tangents of two circles.

Common tangent to two circles

Common Tangents of Circles

Two circle touch each other externally at the point (0,k) and y-axis is the common tangent to these circles. Centres of these circle lie on the line

Two circles of radius 1 and 4 touch each other externally.Another circle of radius r touches both circles externally and also one direct common tangent of the two circles.Then [(1)/(r)]=

In the figure, PQ and RS are the common tangents to two circles intersecting at O. Prove that PQ=RS

R and r are the radii of two circles (R > r). If the distance between the centres of the two circles be d, then length of common tangent of two circles is

R and r are the radius of two circles (R gt r) . If the distance between the centre of the two circles be d , then length of common tangent of two circles is

In the diagram above, A,B,P and Q are points of contacts of direct common tangents of the two circles. If angle ACB is 120^@ , then find the angle between the two tangents and angle made by PQ at the centre of same circle.